Question

Travis has decided to budget his spending money. He can spend no more

than $125.75 every month. He has also decided to spend 4.3 times as much
money on video games as he spends on movies. What linear inequality
describes this problem?
O
A. 4.3x < 125.75
B. 4.3x+ 125.75
o oo
C. 4.3x2 125.75
O
D. 4.3x+x< 125.75

Answer 1

`x + 4.3x \leq 125.75` is the inequality that describes this problem

Solution:

Given that Travis can spend no more than $125.75 every month

To find: linear inequality that describes the problem

Let the amount spent on movies = x dollars

Given that Travis decided to spend 4.3 times as much money on video games as he spends on movies

Amount spent on video games = 4.3 (amount spent on movies)

Amount spent on video games = 4.3x

Travis can spend no more than $125.75. That is, he can spend less than or equal to $125.75

Thus, the inequality representing the situation is:

`\text{ Amount spent on movies + Amount spent on video games } \leq 125.75`

`x + 4.3x \leq 125.75`

Thus the required inequality is found